Polar coding method, apparatus, and device

ABSTRACT

Embodiments of this application disclose a polar coding method, apparatus, and device, so as to reduce storage overheads of a system. A sequence for polar coding is obtained based on a length M of a target polar code, wherein the sequence comprises L sequence numbers, ordering of the L sequence numbers in the sequence is the same as ordering of the L sequence numbers in a maximum mother code sequence, wherein the maximum mother code sequence is obtained by sorting N sequence numbers of N polarized channels in ascending order or descending order of reliability metrics, wherein L and N are integer power of 2, M is smaller than or equal to L, L is smaller than or equal to N.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application is a continuation of U.S. patent application Ser. No. 17/132,566, filed on Dec. 23, 2020, which is a continuation of U.S. patent application Ser. No. 16/295,151, filed on Mar. 7, 2019, now U.S. Pat. No. 10,892,851, which is a continuation of U.S. patent application Ser. No. 16/110,873, filed on Aug. 23, 2018, now U.S. Pat. No. 10,326,555, which is a continuation of International Application No. PCT/CN2017/091675, filed on Jul. 4, 2017, which claims priority to Chinese Patent Application No. 201610664987.6, filed on Aug. 11, 2016. All of the afore-mentioned patent applications are hereby incorporated by reference in their entireties.

TECHNICAL FIELD

This application relates to the field of channel coding, and more specifically, to a polar coding method, apparatus, and device.

BACKGROUND

In a communications system, channel coding is usually used to improve data transmission reliability and ensure communication quality. It has been theoretically proved that polar (Polar) codes are a coding scheme that can achieve a Shannon capacity with easy coding and decoding methods. A polar code is a linear block code. A generator matrix of the polar code is G_(N), and a coding process of the polar code is x₁ ^(N)=u₁ ^(N)·G_(N). u₁ ^(N)=(u₁, u₂, . . . , u_(N)) is a binary row vector, G_(N)=F₂ ^(⊗(log) ² ^((N))), and a code length N=2^(n), where n is a positive integer.

${F_{2} = \begin{bmatrix} 1 & 0 \\ 1 & 1 \end{bmatrix}},$ and F₂ ^(⊗(log) ² ^((N))) is a Kronecker product of F₂ and is defined as F₂ ^(⊗(log) ² ^((N)))=F⊗F₂ ^(⊗(log) ² ^((N)−1).

In a polar code coding process, one portion of bits in u₁ ^(N) are used to carry information and are referred to as information bits. A set of sequence numbers of the information bits is denoted by A. The other portion of bits are set to fixed values that are pre-agreed by a receive end and a transmit end and are referred to as frozen bits. A set of sequence numbers of the frozen bits is represented by a complementary set Ac of A. In general, these frozen bits are set to 0s. Actually, a frozen bit sequence may be randomly set provided that the receive end and the transmit end have a pre-agreement. Therefore, a polar code coded bit sequence may be obtained in the following method: x₁ ^(N)=u_(A)·G_(N)(A). Herein, u_(A) is a set of the information bits in u₁ ^(N) and is a K-length row vector, meaning |A|=K. |·|=K represents a quantity of elements in the set; to be specific, K represents a quantity of elements in the set A. G_(N)(A) is a sub-matrix obtained by using rows, corresponding to indexes in the set A, in the matrix G_(N). G_(N)(A) is a K×N matrix. When a CRC-aided improved SC decoding algorithm is used, polar codes can obtain better FER performance than LDPC and Turbo codes.

A key of polar code coding lies in determining a code length M and the information bit set A. In existing polar code coding solutions, the information bit set A cannot be determined through simple calculation. Therefore, the information bit set A is generally determined by offline calculation and storage. To be specific, an encoder and a decoder pre-store a relationship table of correspondences between a plurality of mother code sequences and code lengths and/or bit rates. During polar code coding, a corresponding mother code sequence is selected based on a required bit rate and/or code length.

A large quantity of mother code sequences need to be stored to support all combinations of code lengths and bit rates required by a system. Therefore, storage overheads of the system are extremely high.

SUMMARY

This application provides a polar coding method, apparatus, and device, so as to reduce storage overheads of a system.

According to a first aspect, this application provides a polar coding method. The method includes: obtaining reliability metrics of N polarized channels, where N=2^(n), and n and N are positive integers; obtaining a maximum mother code sequence by sort sequence numbers of the N polarized channels in ascending order or descending order of the metrics, where the maximum mother code sequence is characterized in that, if a first sequence whose code length is Z is read from the maximum mother code sequence, ordering, in the first sequence, of Z sequence numbers included in the first sequence is the same as ordering, in the maximum mother code sequence, of the Z sequence numbers, where Z=2^(z), z≤n, and z is a positive integer; and storing the maximum mother code sequence.

It should be understood that the maximum mother code sequence is a sequence in a maximum length that can be supported by the system, and the length of the maximum mother code sequence N=₂ _(n) , where n is a positive integer. The first sequence is a sequence that is read from the maximum mother code sequence and that is in any code length (with a maximum length N).

In the prior art, a system needs to store one sequence for each mother code length In addition, under a same mother code length, different bit rates correspond to different sequences; therefore, the system needs to store sequences corresponding to all combinations of code lengths and bit rates. With such a storage method, storage overheads of a hardware system are extremely high.

In embodiments of this application, only the maximum mother code sequence that can be supported by the system is stored (in other words, only one sequence is stored). During polar code coding, a mother code sequence in a required length is read from the maximum mother code sequence, and then rate matching and coding are performed based on a polar code puncturing method. A quantity of mother code sequences that need to be stored by the system is less than that in the prior art, so that storage overheads of the system can be reduced.

In a possible implementation, the method further includes: determining a second sequence from the maximum mother code sequence based on a code length M of a target polar code, where the second sequence is used as a mother code sequence when coding into the target polar code is performed, the second sequence includes L sequence numbers, and ordering, in the second sequence, of the L sequence numbers is the same as ordering, in the maximum mother code sequence, of the L sequence numbers, where M≤L≤N, and M and L are positive integers.

It should be understood that the second sequence is meant for a polar code that needs to be obtained (that is, the target polar code). For the given code length M of the target polar code, a sequence that is used as a mother code sequence when coding into the target polar code is performed and that is read from the maximum mother code sequence is the second sequence.

It should be further understood that L=2^(b), b≤n, and b is a positive integer.

In a possible implementation, the determining a second sequence from the maximum mother code sequence based on a code length M of a target polar code includes: determining a mother code length L of the target polar code based on the code length M of the target polar code; and obtaining the second sequence by successively reading, from the maximum mother code sequence, sequence numbers that are less than L.

It should be noted that, in the embodiments of this application, sequence numbers of the polarized channels start with 0, and therefore a sequence number range of the N polarized channels is from 0 to N−1.

It can be understood that the foregoing first sequence is in general a sequence read from the maximum mother code sequence. Herein, the second sequence is a sequence that is read from the maximum mother code sequence and that is used as the mother code of the target polar code when the code length of the target polar code is M.

In other words, during polar coding, the mother code sequence in the required length (that is, the second sequence) is first read from the maximum mother code sequence, and then polar coding is performed on to-be-coded bits by using the second sequence.

In a possible implementation, the determining a mother code length L of the target polar code based on the code length M of the target polar code includes: determining L=M when M=2^(m); and L=2^(┌log) ² ^(M┐) when M≠2^(m), where m is a positive integer, and the symbol ┌ ┐ represents rounding up.

In a possible implementation, the storing the maximum mother code sequence includes: calculating, based on the length of the maximum mother code sequence and a preset rule, a quantity S of bits that need to be used to represent a sequence number in the maximum mother code sequence; calculating a maximum sequence length Q that is represented by (S−1) bits; determining a sequence obtained by successively sorting sequence numbers that are less than Q and that are in the maximum mother code sequence, as a base sequence; grouping sequence numbers that are greater than or equal to Q and that are in the maximum mother code sequence into

$\left( \frac{N - Q}{Q} \right)$ offset sequences, where a quantity of sequence numbers included in each offset sequence is the same as a quantity of sequence numbers included in the base sequence, and an i^(th) sequence number in each offset sequence corresponds to an i^(th) sequence number in the base sequence, where 0≤i≤Q−1, and i is a nonnegative integer; storing, by using S bits, each sequence number that belongs to the base sequence and that is in the maximum mother code sequence, where the S bits include a first bit and a plurality of second bits, the first bit is used to indicate that a sequence number stored at a current location belongs to the base sequence, and the plurality of second bits are used to indicate a value of the sequence number stored at the current location; and storing, by using S bits, each sequence number that belongs to an offset sequence and that is in the maximum mother code sequence, where the S bits include a third bit and a plurality of fourth bits, the third bit is used to indicate that a sequence number stored at a current location belongs to an offset sequence, the plurality of fourth bits are used to indicate an offset multiplier of the sequence number stored at the current location with respect to a sequence number stored at a corresponding location in the base sequence, the offset multiplier is a result of dividing a difference between the sequence number stored at the current location and the sequence number stored at the corresponding location in the base sequence by a length of the base sequence, and the first bit is different from the third bit.

It should be noted that, in the embodiments of this application, when the quantity S of bits that need to be used to store the sequence number in the maximum mother code sequence is determined, the quantity S is calculated based on the length N of the maximum mother code sequence and the preset rule. In the embodiments of this application, the preset rule may be understood as an equation N=2^(2S−2) pre-configured by the system. N is the length of the maximum mother code sequence, S is the quantity of bits used to represent each sequence number in the maximum mother code sequence. Based on the foregoing equation, for a maximum mother code sequence in any length, a quantity of bits that need to be used for storage using the compressed storage method provided in the embodiments of this application can be calculated.

Therefore, on the basis that the storage overheads of the system can be reduced because the system needs to store only one maximum mother code sequence, using the compressed storage method provided in the embodiments of this application to store the maximum mother code sequence can reduce the quantity of bits that are used to represent each sequence number in the maximum mother code sequence, so that storage overheads of the system can be further reduced.

In a possible implementation, the obtaining reliability metrics of N polarized channels includes:

obtaining the reliability metrics of the N polarized channels based on the following equation:

${W_{i} = {\sum\limits_{j = 0}^{n - 1}{B_{j}*2^{\frac{1}{4}j}}}},$ where 0≤i≤N−1, N=2^(n), n is a positive integer, i=B_(n−1) B_(n−2) . . . B₀, B_(n−1) B_(n−2) . . . B₀ is a binary representation of i, B_(n−1) is the most significant bit, B₀ is the least significant bit, B_(j)∈{0, 1}, and W_(i) is used to represent a reliability of an i^(th) polarized channel.

It should be understood that a polarization weight may be used as a parameter for measuring a reliability of a polarized channel. Therefore, in the embodiments of this application, when the reliabilities of the polarized channels are calculated, the foregoing formula may be optionally used to calculate polarization weights of the N polarized channels. A larger polarization weight of a polarized channel represents a higher reliability of the polarized channel.

In a possible implementation, the obtaining reliability metrics of N polarized channels includes:

obtaining error probabilities of the N polarized channels by using density evolution or Gaussian approximation. A lower error probability of a polarized channel represents a higher reliability of the polarized channel. The polarized channels are sorted based on the error probabilities, and in an sorted sequence, order of a sequence number of a polarized channel that fails to present the characteristic that the maximum mother code sequence in the embodiments of this application is supposed to have, is adjusted, so as to obtain the maximum mother code sequence in the embodiments of this application.

In a possible implementation, the method further includes: using the second sequence as a mother code sequence of the target polar code, and obtaining the target polar code according to a shortening method.

It should be noted that, shortening herein is one of polar code puncturing schemes.

According to a second aspect, this application provides a polar coding apparatus, configured to perform the method in any one of the first aspect or the possible implementations of the first aspect. Specifically, the apparatus includes units configured to perform the method in any one of the first aspect or the possible implementations of the first aspect.

According to a third aspect, this application provides a polar coding device. Specifically, the device includes: a memory, a processor, and a network interface. The memory, the processor, and the network interface may be connected to each other by using a bus system. The memory is configured to store an instruction, the processor is configured to execute the instruction stored in the memory, and when the instruction is executed, the processor performs, by using the network interface, the method in any one of the first aspect or the possible implementations of the first aspect.

According to a fourth aspect, this application provides a computer readable medium, configured to store a computer program. The computer program includes an instruction for performing the method in any one of the first aspect or the possible implementations of the first aspect.

According to a fifth aspect, this application provides a chip (or a chip system), including a memory and a processor. The memory is configured to store a computer program, the processor is configured to call the computer program from the memory and run the computer program, to enable a communications device provided with the chip to perform the method in any one of the first aspect or the possible implementations of the first aspect.

It should be understood that the communications device herein may be the apparatus described in any one of the second aspect or the possible implementation of the second aspect.

According to a sixth aspect, this application provides a polar coding method. The method includes: obtaining a maximum mother code sequence, where the maximum mother code sequence is characterized in that, if a first sequence whose code length is Z is read from the maximum mother code sequence, ordering, in the first sequence, of Z sequence numbers included in the first sequence is the same as ordering, in the maximum mother code sequence, of the Z sequence numbers, where Z=2^(z), z≤n, and z is a positive integer; and performing polar coding by using the maximum mother code sequence.

In a possible implementation, the performing polar coding by using the maximum mother code sequence includes: determining a second sequence from the maximum mother code sequence based on a code length M of a target polar code, where the second sequence is used as a mother code sequence when coding into the target polar code is performed, the second sequence includes L sequence numbers, and ordering, in the second sequence, of the L sequence numbers is the same as ordering, in the maximum mother code sequence, of the L sequence numbers, where M≤L≤N, and M and L are positive integers; and performing polar coding on to-be-coded bits based on the second sequence.

In a possible implementation, the method further includes: obtaining reliability metrics of N polarized channels based on the following equation:

${W_{i} = {\sum\limits_{j = 0}^{n - 1}{B_{j}*2^{\frac{1}{4}j}}}},$ where 0≤i≤N−1, N=2^(n), n is a positive integer, i=B_(n−1) B_(n−2) . . . B₀, B_(n−2) . . . B₀ is a binary representation of i, B_(n−1) is the most significant bit, B₀ is the least significant bit, B_(j)∈{0,1}, W_(i) is used to represent a reliability of an i^(th) polarized channel, and N equals a length of the maximum mother code sequence; and determining the maximum mother code sequence based on the reliability metrics of the N polarized channels.

In the embodiments of this application, the system stores only the maximum mother code sequence that can be supported (in other words, one sequence is stored), and during polar code coding, the mother code sequence in the required length is then read from the maximum mother code sequence, so that the storage overheads of the system can be reduced.

BRIEF DESCRIPTION OF DRAWINGS

FIG. 1 is a schematic flowchart of a polar coding method 100 according to an embodiment of this application;

FIG. 2 is a schematic diagram of reading a sequence in any code length from a maximum mother code sequence according to an embodiment of this application;

FIG. 3 is a storage form of a maximum mother code sequence according to an embodiment of this application;

FIG. 4 is a schematic diagram of storing a maximum mother code sequence in a direct storage mode:

FIG. 5 is another storage form of a maximum mother code sequence according to an embodiment of this application;

FIG. 6 is a schematic block diagram of a polar coding apparatus according to an embodiment of this application; and

FIG. 7 is a schematic structural diagram of a polar coding device according to an embodiment of this application.

DESCRIPTION OF EMBODIMENTS

The following describes the technical solutions of embodiments in this application with reference to accompanying drawings.

The embodiments of this application may be applied to various communications systems, such as a Global System for Mobile Communications (Global System for Mobile Communications, GSM) system, a Code Division Multiple Access (Code Division Multiple Access, CDMA) system, a Wideband Code Division Multiple Access (Wideband Code Division Multiple Access, WCDMA) system, a General Packet Radio Service (General Packet Radio Service, GPRS) system, a Long Term Evolution (Long Term Evolution, LTE) system, an LTE frequency division duplex (Frequency Division Duplex, FDD) system, an LTE time division duplex (Time Division Duplex, TDD) system, and a Universal Mobile Telecommunications System (Universal Mobile Telecommunications System. UMTS). Any information or data coded by a base station or a terminal in the foregoing systems by using a conventional Turbo code or low density parity check code (Low Density Parity Check Code, LDPC) may be coded by using a polar code in the embodiments.

The base station may be a device configured to communicate with a terminal device. For example, the base station may be a base station (Base Transceiver Station, BTS) in a GSM or CDMA system, or may be a base station (NodeB, NB) in a WCDMA system, or may be an evolved NodeB (Evolved Node B, eNB or eNodeB) in an LTE system. Alternatively, the base station may be a relay node, an access point, an in-vehicle device, a wearable device, a network side device on a future 5G network, or the like. The base station may alternatively be a terminal that functions as a base station in device-to-device (device-to-device D2D) communication.

The terminal may communicate with one or more core networks by using a radio access network (Radio Access Network. RAN). The terminal may be user equipment (User Equipment, UE), an access terminal, a subscriber unit, a subscriber station, a mobile station, a mobile console, a remote station, a remote terminal, a mobile device, a user terminal, a wireless communications device, a user agent, a user apparatus, or the like. The access terminal may be a cellular phone, a cordless phone, a Session Initiation Protocol (Session Initiation Protocol, SIP) phone, a wireless local loop (Wireless Local Loop, WLL) station, a personal digital assistant (Personal Digital Assistant, PDA), a handheld device or computing device having a wireless communications function or another processing device connected to a wireless modem, an in-vehicle device, a wearable device, a terminal device on a future 5G network, or the like.

For ease of understanding, the following describes a polar coding method 100 in an embodiment of this application in detail with reference to FIG. 1 to FIG. 5 .

FIG. 1 is a schematic flowchart of the polar coding method 100 in this embodiment of this application. As shown in FIG. 1 , the method 100 mainly includes steps 101 to 106.

101. A maximum mother code length supported by a system is set to N.

It can be understood that a mother code length of a polar code is limited to 2 to the power of n (n is a positive integer.). Therefore, a maximum mother code sequence length set by the system is N=2^(n), where n is a positive integer. For example, N=16, 128, 256, 65536, or the like.

102. A metric set W_(N) is obtained by calculating reliability metrics of polarized channels.

It should be understood that, during polar code coding, a mother code length is consistent with a quantity of the polarized channels. To be specific, if the maximum mother code length supported by the system is N, correspondingly, there are N polarized channels.

Specifically, when the reliability metrics of the polarized channels are calculated, a prior-art method such as density evolution, Gaussian approximation, or linear fitting may be used. A specific calculation process may be the same as that in the prior art. For brevity, details are not described herein.

Optionally, when the reliabilities of the polarized channels are calculated, a parameter such as an error probability, a channel capacity, or a polarization weight may be used as a parameter for measuring the reliabilities of the polarized channels, or another parameter that can measure the polarized channels may be used. This is not particularly limited in this embodiment of this application.

Optionally, when the polarization weight is used as the parameter for measuring the reliabilities of the polarized channels, the reliabilities of the polarized channels may be calculated based on the following equation:

${W_{i} = {\sum\limits_{j = 0}^{n - 1}{B_{j}*2^{\frac{1}{4}j}}}},$ where 0≤i≤N−1, N=2^(n), n is a positive integer, i=B_(n−1) B_(n−2) . . . B₀, B_(n−1) B_(n−2) . . . B₀ is a binary representation of i, B_(n−1) is the most significant bit, B₀ is the least significant bit, B_(j)∈{0, 1}, and W_(i) is used to represent a reliability of an i^(th) polarized channel.

There are N polarized channels, and therefore N metrics are obtained by calculating the reliabilities of the polarized channels. In other words, a metric set (which, for ease of description, is denoted by the set W_(N) in the following description) is obtained.

103. A maximum mother code sequence S_(N) is obtained by sorting sequence numbers of the polarized channels based on values of the metrics in W_(N).

Specifically, the N polarized channels are in one-to-one correspondence with the N metrics, and each metric is used to represent a reliability of a corresponding polarized channel. The reliabilities of the N polarized channels are sorted based on values of the N metrics in the set W_(N), and a sorting result is recorded by using the sequence numbers of the polarized channels, to obtain the sequence S_(N). In other words, the sequence S_(N) includes N sequence numbers, and ordering of the N sequence numbers indicates ordering of the reliabilities of the N polarized channels.

It can be understood that the sorting in step 103 is performed depending on a parameter selected for measuring the reliabilities of the polarized channels in step 102. It can be learned from the description in step 102 that, in step 103, the ordering of the polarized channels may be optionally determined based on the polarization weight, the error probability, the channel capacity, or another parameter that can measure the reliabilities of the polarized channels. This is not limited in this embodiment of this application.

It should be noted that, the sequence numbers of the polarized channels may be sorted in ascending order or descending order. This is not particularly limited in this embodiment of this application.

In this embodiment of this application, the maximum mother code sequence is stored in a coding device. Afterwards, when performing polar coding, the coding device may first obtain the maximum mother code sequence, and then perform polar coding by using the maximum mother code sequence. Specifically, the coding device first reads, from the maximum mother code sequence, a mother code sequence in a required length, then determines an information bit index set (which is also referred to as an information bit sequence number set) based on the read mother code sequence, and finally performs polar coding on to-be-coded bits by using the information bit index set.

104. For a polar code whose length is M (M≤N), a mother code length L that is most approximate to M is selected.

Specifically, two cases are differentiated when a mother code sequence of the polar code whose length is M is determined.

Case 1

M=2^(m), where m is a positive integer.

The length of the polar code is the m^(th) power of 2. For example, M=4 or 8. In this case, a value of the mother code length L of the polar code is M.

Case 2

M≠2^(m), where m and M are positive integers.

The length of the polar code is not a value of the m^(th) power of 2. For example, M=5, 7, 11, or the like. In this case, a value of the mother code length L of the polar code may be calculated based on a formula L=2^(┌log) ² ^(M┐). The symbol ┌ ┐ represents rounding up.

For example, when M=5, the value of L is L=2^(┌log) ² ^(5┐)=8. For another example, when M=9, the value of L is L=2^(┌log) ² ^(9┌)=2⁴=16.

105. A sequence S₁ is obtained by successively reading, from the sequence S_(N) based on index order, L sequence numbers that are less than L.

It should be understood that, when L<N, the sequence S₁ (an example of the first sequence) is a sub-sequence of the sequence S_(N). When L=N, the sequence S₁ is the sequence S_(N).

In step 104, if polar coding needs to be performed to obtain the polar code whose length is M, the mother code length is L. In step 105, the sequence S₁ that is used as the mother code of the polar code is read from the sequence S_(N). Specifically, when the sequence S₁ is read, sequence numbers that are less than L need to be successively read based on index order of the sequence S_(N).

With reference to FIG. 2 , the following describes, by using an example, how the mother code sequence S₁ of the polar code is read.

FIG. 2 is a schematic diagram of reading a sequence in any code length from the maximum mother code sequence according to this embodiment of this application. As shown in FIG. 2 , first, it is assumed that the maximum mother code length supported by the system is N=16. Correspondingly, there should be 16 sequence numbers stored in the sequence S_(N), and ordering of the 16 sequence numbers corresponds to ordering of reliabilities of 16 polarized channels. It is assumed that a sequence S_(N) obtained by sorting the reliabilities of the 16 polarized channels in ascending order is {0, 1, 2, 4, 8, 3, 5, 6, 9, 10, 12, 7, 11, 13, 14, 15}. For example, L=8. A sequence S₁ obtained by successively reading, from the sequence S_(N), sequence numbers that are less than L (that is, less than 8) is {0, 1, 2, 4, 3, 5, 6, 7}. For another example, L=4. A sequence S₁ obtained by successively reading, from the sequence S_(N), sequence numbers that are less than L (that is, less than 4) is {0, 1, 2, 3}.

106. Coded bits of the polar code whose length is M is obtained according to a shortening method using the sequence S₁.

Specifically, the sequence S₁ is used as the mother code sequence, and the polar code whose code length is M (that is, a target polar code) may be obtained according to the shortening (English name: Shorten, one of polar code puncturing schemes) method.

It can be learned from the foregoing process that, in this embodiment of this application, the system needs to store only one sequence (that is, the maximum mother code sequence that can be supported by the system). During implementation, the mother code sequence in the required length is read from the maximum mother code sequence based on the mother code length required by the polar code, so that storage overheads of the system can be reduced.

A specific maximum mother code sequence (denoted by a sequence #A in the following description) when N=65536 is as follows.

The sequence #A={0 1 2 4 8 16 3 32 5 6 9 64 10 17 12 18 128 33 20 34 7 24 36 65 11 256 66 40 13 19 68 14 129 48 21 72 130 35 22 25 512 132 37 80 26 38 257 67 136 41 28 258 96 69 42 15 144 49 260 70 44 73 131 50 23 1024 264 74 160 513 133 52 81 27 76 514 134 39 272 82 137 56 29 516 259 192 97 138 84 43 30 145 288 98 261 71 520 140 45 88 146 51 262 100 1025 46 265 75 2048 161 528 148 53 320 1026 266 104 77 162 515 135 54 273 83 152 57 1028 268 78 544 164 517 274 193 112 139 85 58 31 1032 518 384 289 194 99 276 168 86 521 141 60 89 147 290 576 263 196 101 522 142 1040 47 280 90 2049 176 529 149 292 102 321 1027 524 267 200 105 2050 92 163 530 150 55 4096 322 1056 153 296 1029 106 269 79 640 545 2052 165 532 275 208 113 154 324 59 1030 270 108 546 1033 166 519 385 304 195 114 2056 277 169 87 536 156 61 1088 328 1034 548 386 291 224 577 278 197 170 116 523 143 1041 62 281 91 2064 177 1036 768 578 388 293 198 103 552 336 172 1042 525 282 201 120 2051 93 178 531 151 294 580 4097 323 1152 1057 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65267 64507 65478 65383 65452 65262 65481 65400 65020 65373 65458 65431 65269 64509 65215 65482 65387 65007 65374 63487 65460 65270 65489 64510 65435 65273 65484 65389 65447 65490 65395 65015 65464 65274 65437 65247 65390 65505 65492 65451 65397 65438 65343 65276 65019 65506 65479 65398 65453 65263 65496 65401 65021 65459 65508 65454 65483 65402 65022 65375 65461 65271 64511 65512 65485 65404 65462 65491 65465 65275 65486 65391 65520 65493 65466 65439 65277 65507 65494 65399 65468 65278 65497 65509 65455 65498 65403 65023 65510 65513 65500 65405 65463 65514 65487 65406 65521 65467 65516 65522 65495 65469 65279 65524 65470 65499 65511 65528 65501 65515 65502 65407 65517 65523 65518 65525 65471 65526 65529 65530 65503 65532 65519 65527 65531 65533 65534 65535}

In this embodiment of this application, the system stores a maximum mother code sequence (assuming that a length is N), and a mother code sequence in any code length (assuming that the code length is M, where M≤N) can be directly read from the maximum mother code sequence.

For example, when N=65536, any mother code sequence in code length of 16, 32, 64, 128, . . . , or 32768 can be directly read from the foregoing sequence #A.

Optionally, in this embodiment of this application, the maximum mother code sequence supported by the system may be stored in a compressed storage mode, to further reduce the storage overheads of the system.

It can be learned from a polar code polarization process that, polarized channels

$\frac{N}{2},{\frac{N}{2} + 1},{\frac{N}{2} + 2},\ldots,{{N - 1} = {2^{n} - 1}}$ are a result of further polarization on polarized channels

$\left\{ {0,1,2,\ldots,{{\frac{N}{2} - 1} = {2^{n - 1} - 1}}} \right\},$ and the two groups of polarized channels have same inner ordering. During storage, an ordering sequence of

$\left\{ {0,1,2,\ldots,{{\frac{N}{2} - 1} = {2^{n - 1} - 1}}} \right\}$ may be stored, and for

$\left\{ {\frac{N}{2},{\frac{N}{2} + 1},{\frac{N}{2} + 2},\ldots,{{N - 1} = {2^{n} - 1}}} \right\},$ only a difference with corresponding locations in

$\left\{ {0,1,2,\ldots,{{\frac{N}{2} - 1} = {2^{n - 1} - 1}}} \right\}$ needs to be stored. The process is further broken down, so that an ordering sequence of a shorter polar code may be stored. For example, a sequence

$\left\{ {0,1,2,\ldots,{{\frac{N}{4} - 1} = {2^{n - 1} - 1}}} \right\}$ is used as a base sequence, and for other polarized channels, a difference with corresponding locations in the base sequence is stored. For example, a difference between

$\left\{ {\frac{N}{4},{\frac{N}{4} + 1},{\frac{N}{4} + 2},\ldots,{2^{n - 1} - 1}} \right\}$ and corresponding locations in the base sequence is

$\frac{N}{4}$ and a difference between

$\left\{ {\frac{N}{2},{\frac{N}{2} + 1},{\frac{N}{2} + 2},\ldots,{\frac{3N}{4} - 1}} \right\}$ and corresponding locations in the base sequence is

$\frac{N}{2}.$ It can be learned that the differences are all integer multiples of a length of the base sequence.

Therefore, in this embodiment of this application, when the maximum mother code sequence supported by the system is stored, a base sequence may be first determined from the maximum mother code sequence, and for sequence numbers of rest polarized channels, an offset difference (in other words, an offset multiplier) of the sequence numbers with respect to those in the base sequence is stored.

The following describes a compressed storage process according to this embodiment of this application in detail.

First, a maximum mother code length that can be supported by a system is set to N (N=2^(n), where n is a nonnegative integer). In this case, it can be learned from the foregoing polar coding method in this embodiment of this application that, the system needs to store only one maximum mother code sequence (which, for ease of differentiation, is denoted by a sequence S_(N) in the following description). The sequence S_(N) includes sequence numbers (indexes from 0 to N−1) of N polarized channels, and ordering of the sequence numbers of the N polarized channels is obtained based on ordering of reliabilities of the polarized channels.

201. Based on a length of the maximum mother code sequence and a preset rule, a quantity S of bits that need to be used to represent a sequence number in the maximum mother code sequence is calculated.

In this embodiment of this application, the preset rule may be understood as an equation N=2^(2S−2) configured by the system.

Specifically, it can be learned from the foregoing equation that a value of S may be calculated based on a formula

$S = {\left\lceil \frac{\log_{2}N}{2} \right\rceil + 1.}$ The symbol ┌ ┐ represents rounding up.

It should be understood that determining the value of S based on this equation is only used as an example. In this embodiment of this application, a manner how the value of S is determined is not limited. Any manner shall fall with the protection scope of this embodiment of this application, provided that a compressed storage mode is used so that a quantity of bits used when the sequence numbers of the polarized channels are stored is less than a quantity of bits used during direct storage are.

202. A maximum sequence length that is represented by (S−1) bits is calculated.

In this embodiment of this application, when the sequence number in the maximum mother code sequence is represented by S bits, one bit in the S bits needs to be reserved as an indication bit used to indicate a type of a sequence number stored at a current location. Therefore, the rest (S−1) bits in the S bits are used to indicate a value of the sequence number.

It should be understood that, the type of the sequence number herein means that the sequence number stored at the current location belongs to a base sequence or an offset sequence.

It can be understood that, the maximum sequence length that is represented by the (S−1) bits is Q=2^(S−1).

203. A sequence obtained by successively sorting sequence numbers that are less than Q and that are in the maximum mother code sequence, is determined as a base sequence.

It should be noted that, for ordering of the sequence numbers in the base sequence, reference may be made to step 105.

204. Sequence numbers that are greater than or equal to the sequence number Q and that are in the maximum mother code sequence are grouped into

$\left( \frac{N - Q}{Q} \right)$ offset sequences.

It should be understood that a quantity of sequence numbers included in each offset sequence is the same as a quantity of the sequence numbers included in the base sequence, ordering of a plurality of sequence numbers in each offset sequence is the same as ordering of the plurality of sequence numbers in the maximum mother code sequence, and there is a common offset multiplier for a plurality of sequence numbers in each offset sequence with respect to sequence numbers at corresponding locations in the base sequence.

205. Each sequence number in the base sequence is stored by using S bits, where the S bits include a first bit and a plurality of second bits.

Specifically, the first bit is used to indicate that the sequence number stored at the current location belongs to the base sequence, and the plurality of second bits are used to indicate a value of the sequence number stored at the current location.

206. A sequence number in the offset sequence is stored by using S bits, where the S bits include a third bit and a plurality of fourth bits.

Specifically, the third bit is used to indicate that the sequence number stored at the current location belongs to an offset sequence, and the plurality of fourth bits are used to indicate an offset multiplier of the sequence number stored at the current location with respect to a sequence number at a corresponding location in the base sequence. An i^(th) sequence number in each offset sequence corresponds to an i^(th) sequence number in the base sequence.

For ease of understanding, the following uses N=16 (meaning that the maximum mother code length supported by the system is 16) as an example to describe the foregoing compressed storage process.

First, it is assumed that reliabilities of 16 polarized channels are calculated and sorted in ascending order into a sequence S₁. S ₁={0,1,2,4,8,3,5,6,9,10,12,7,11,13,14,15}

(1) Calculate a quantity S of bits that need to be used to represent a sequence number in the maximum mother code sequence.

$S = {{\left\lceil \frac{\log_{2}16}{2} \right\rceil + 1} = 3.}$

(2) Calculate a maximum sequence length Q that is represented by (3−1) bits. Q=2³⁻¹=4.

(3), Obtain a base sequence (which, for ease of description, is denoted by S₂ in the following description) by successively reading sequence numbers that are less than Q from the sequence S₁.

It is easy to obtain that S₂={0, 1, 2, 3}.

(4) Calculate a quantity of offset sequences.

$\frac{N - Q}{Q} = {\frac{16 - 4}{4} = 3.}$

Specifically, sequence numbers of the rest polarized channels, other than the sequence numbers in the base sequence, are grouped into 3 offset sequences. Each offset sequence includes 4 sequence numbers, and the 4 sequence numbers in each offset sequence are in one-to-one correspondence with 4 sequence numbers in the base sequence. In addition, at corresponding locations, differences between sequence numbers in the offset sequence and sequence numbers in the base sequence are the same.

For example, the foregoing base sequence is S₂={0 1 2 3}, the sequence numbers 4 to 15 are grouped in to 3 offset sequences, the sequence numbers 4 to 7 belong to an offset sequence 1, the sequence numbers 8 to 11 belong to an offset sequence 2, and sequence numbers 12 to 15 belong to an offset sequence 3.

It should be noted that, herein, that the sequence numbers 4 to 7 belong to the offset sequence 1 means that the sequence numbers 4, 5, 6, and 7 belong to a same offset sequence but does not represent ordering of the sequence numbers 4, 5, 6, and 7. The similar applies to the offset sequence 2 and the offset sequence 3, and details are not repeatedly described herein.

It should be understood that a same offset difference (or offset multiplier) exists for sequence numbers that belong to one offset sequence with respect to sequence numbers at corresponding locations in the base sequence.

For example, the sequence numbers in the offset sequence 1 are successively read from the sequence S₁, to obtain the offset sequence 1={4 5 6 7}. Similarly, the offset sequence 2={8 9 10 11}, and the offset sequence 3={12 13 14 15}. Therefore, it can be learned that differences between a plurality of sequence numbers that belong to a same offset sequence and sequence numbers at corresponding locations in the base sequence are the same. A difference between the offset sequence 1 and the base sequence is 4 (an offset multiplier is 1), a difference between the offset sequence 2 and the base sequence is 8 (an offset multiplier is 2), and a difference between the offset sequence 3 and the base sequence is 12 (an offset multiplier is 3).

(5) Store the maximum mother code sequence by using 3 bits. The sequence numbers in the base sequence are stored directly, and for sequence numbers in an offset sequence, an offset multiplier of the offset sequence with respect to the base sequence is stored.

In this embodiment of this application, bits that are used to store each sequence number include a first portion and a second portion. The first portion is used to indicate whether a sequence number stored at a current location belongs to the base sequence or an offset sequence. If the first portion indicates that the sequence number stored at the current location belongs to the base sequence, the second portion is used to indicate a value of the sequence number stored at the current location. If the first portion indicates that the sequence number stored at the current location belongs to an offset sequence, the second portion is used to indicate an offset multiplier of the sequence number stored at the current location with respect to that in the base sequence.

FIG. 3 is a storage form of a maximum mother code sequence in a compressed storage mode according to an embodiment of this application. As shown in FIG. 3 , each sequence number is stored by using 3 bits. The most significant 1 bit of each sequence number is used to indicate whether a sequence number stored at a current location belongs to the base sequence or an offset sequence. As an example but not a limitation, in this embodiment of this application, “0” is used to indicate that the sequence number stored at the current location belongs to the base sequence, and “1” is used to indicate that the sequence number stored at the current location belongs to an offset sequence. Therefore, the first bits of sequence numbers 1, 2, and 3 are 0s, and the first bits of the rest sequence numbers are all Is.

Further, when the first bit indicates that the sequence number stored at the current location belongs to the base sequence, the rest bits are used to indicate a value of the sequence number stored at the current location. The last 2 bits are directly read as a sequence number of a polarized channel.

For example, the last 2 bits of the sequence numbers 0, 1, 2, and 3 are 00, 01, 10, and 11, respectively. This means that the sequence numbers of polarized channels are 0, 1, 2, and 3, respectively.

When the first bit indicates that the sequence number stored at the current location belongs to an offset sequence, the rest bits are used to indicate an offset multiplier of the sequence number stored at the current location with respect to that in the base sequence. Therefore, for a k^(th) sequence number whose most significant bit is 1 and whose offset multiplier is y, the value of the sequence number stored at the current location is the k^(th) sequence number in the base sequence+(the offset multiplier y×a length of the base sequence).

For example, when a sequence number 5 is stored, the most significant bit is stored as 1 and is used to indicate that the sequence number 5 belongs to an offset sequence. The last 2 bits are necessarily stored as 00 and are used to indicate that an offset multiplier of the sequence number (that is, the sequence number 5) stored at the current location with respect to that in the base sequence is 1. For another example, when a sequence number 9 is stored, the most significant bit is stored as 1, and the last 2 bits are stored as 01 and are used to indicate that an offset multiplier is 2.

FIG. 4 is a schematic diagram of storing a maximum mother code sequence in a direct storage mode. As shown in FIG. 4 , using N=16 as an example, if the direct storage mode is used, 4 bits are required to represent a sequence number of each polarized channel. Sequence numbers 0 to 15 are represented by “0000” to “1111”, respectively.

FIG. 5 is another storage form of a maximum mother code sequence in a compressed storage mode according to an embodiment of this application. In FIG. 5 , {0 1 2, . . . , 7} is selected as a base sequence, and an offset difference of sequence numbers of the rest polarized channels with respect to those in the base sequence is 8; therefore, an offset multiplier is 1. In this case, a length of a maximum sequence in the base sequence is 8, and therefore 3 bits need to be used for representation. The offset multiplier of the sequence numbers of the rest polarized channels with respect to those in the base sequence is 1, and therefore only one bit needs to be used for representation. To ensure consistency with the quantity of bits that are used in the base sequence to represent a value of a sequence number, 3 bits are also used when an offset multiplier of sequence numbers 8 to 15 is stored. With one indication bit added, in this case, a quantity of bits used when the maximum mother code sequence is stored is 4.

It should be understood that, the lengths of the base sequences selected in FIG. 5 and FIG. 3 are different. The quantity of bits used when the maximum mother code sequence is stored in FIG. 5 and that used in the direct storage mode are both 4, and the quantity of bits is not reduced. In this case, the length of the base sequence may further be shortened, so as to enlarge a range of the offset multiplier. Therefore, when the length of the base sequence is shortened to 4, the storage form of the maximum mother code sequence shown in FIG. 3 may be obtained.

Therefore, when the maximum code length sequence is stored in the compressed storage mode, referring to the foregoing steps 201 to 206, the quantity of bits that are used can be minimal. Compared with the prior art, this can further reduce storage overheads of a system on the basis that the storage overheads are reduced by storing only one sequence (that is, the maximum mother code sequence).

Table 6 shows a result of comparison between storage space occupied by direct storage and that occupied by compressed storage.

TABLE 6 Maximum Direct Storage Compressed Storage Mother Code Quantity of Quantity of Base sequence Space Length (N) bits used bits used range saved 256 8 5 0~15  37.5% 512 9 6 0~31  33.3% 1024 10 6 0~31   40% 2048 11 7 0~63  36.4% 4096 12 7 0~63  41.7% 8192 13 8 0~127 38.5% 16384 14 8 0~127 42.9% 32768 15 9 0~255  40% 65536 16 9 0~255 43.75%  131072 17 10 0~511 41.2% 262144 18 10 0~511 44.4% 524288 19 11  0~1023 42.1% 1048576 20 11  0~1023  45%

It can be learned from Table 6 that, when the maximum mother code sequence is stored, the compressed storage mode can save 40% storage space in comparison with the direct storage mode.

With reference to FIG. 1 to FIG. 5 , the foregoing describes in detail the polar coding method according to the embodiments of this application. With reference to FIG. 6 and FIG. 7 , the following describes a polar coding apparatus and a polar coding device according to the embodiments of this application.

FIG. 6 is a schematic block diagram of a polar coding apparatus 500 according to an embodiment of this application. As shown in FIG. 6 , the apparatus 500 includes a processing unit 510 and a storage unit 520.

The processing unit 510 is configured to obtain reliability metrics of N polarized channels, where N=2^(n), and n and N are positive integers.

The processing unit 510 is further configured to sort sequence numbers of the N polarized channels in ascending order or descending order of the metrics, to obtain a maximum mother code sequence. The maximum mother code sequence is characterized in that, if a first sequence whose code length is Z is read from the maximum mother code sequence, ordering, in the first sequence, of Z sequence numbers included in the first sequence is the same as ordering, in the maximum mother code sequence, of the Z sequence numbers, where Z=2^(z), z≤n, and z is a positive integer.

The storage unit 520 is configured to store the maximum mother code sequence.

The units in the apparatus 500 in this embodiment of this application and the foregoing operations or functions are intended to implement corresponding procedures in the method 100. For brevity, details are not repeatedly described herein.

Optionally, the apparatus 500 may be a chip or an integrated circuit.

In a possible design, when some or all functions of the apparatus 500 are implemented by using software, the apparatus 500 may be provided with a chip (or a chip system). The chip includes a memory and a processor. The memory is configured to store a computer program, and the processor is configured to execute the computer program stored in the memory. When the computer program is executed, the apparatus 500 can perform the polar coding method described in the foregoing embodiments.

The computer program may also be referred to as computer program code, program code, or the like.

In a possible design, when some or all functions of the apparatus 500 are implemented by using hardware, the apparatus 500 may be an integrated circuit. The integrated circuit may include:

an input interface circuit, configured to obtain to-be-coded bits;

a logic circuit, configured to read, from the maximum mother code sequence, a mother code sequence in a required length, to perform polar coding on the to-be-coded bits; and

an output interface circuit, configured to output a sequence resulting from the polar coding.

In this embodiment of this application, only the maximum mother code sequence that can be supported by a system needs to be stored, and during polar code coding, the mother code sequence in the length required to perform polar coding is read from the maximum mother code sequence, so that storage overheads of the system can be reduced.

FIG. 7 is a schematic structural diagram of a polar coding device 600 according to an embodiment of this application. As shown in FIG. 7 , the device 600 includes a memory 610, a processor 620, and a network interface 630. The memory 610, the processor 620, and the network interface 630 may be connected to each other by using a bus system 640. The memory 610 is configured to store an instruction, and the processor 620 is configured to execute the instruction stored in the memory 620, to control the network interface 630 to send or receive a signal.

The processor 620 is configured to obtain reliability metrics of N polarized channels, where N=2^(n), and n and N are positive integers.

The processor 620 is further configured to sort sequence numbers of the N polarized channels in ascending order or descending order of the metrics, to obtain a maximum mother code sequence. The maximum mother code sequence is characterized in that, if a first sequence whose code length is Z is read from the maximum mother code sequence, ordering, in the first sequence, of Z sequence numbers included in the first sequence is the same as ordering, in the maximum mother code sequence, of the Z sequence numbers, where Z=2^(z), z≤n, and z is a positive integer.

The memory 610 is configured to store the maximum mother code sequence.

The units in the polar coding device 600 in this embodiment of this application and the foregoing operations or functions are intended to implement corresponding procedures in the method 100. For brevity, details are not repeatedly described herein. In this embodiment of this application, only the maximum mother code sequence that can be supported by a system needs to be stored, and during polar code coding, a mother code sequence in a length required to perform polar coding is read from the maximum mother code sequence, so that storage overheads of the system can be reduced.

It should be understood that, in this embodiment of this application, the processor 620 may be a central processing unit (central processing unit, CPU), or may be another general purpose processor, a digital signal processor (Digital Signal Processor, DSP), an application-specific integrated circuit (Application-Specific Integrated Circuit, ASIC), a field programmable gate array (Field Programmable Gate Array, FPGA) or another programmable logic device, a discrete gate or transistor logic device, a discrete hardware component, or the like. The general purpose processor may be a microprocessor or the processor may be any normal processor, or the like.

The memory 610 may include a read-only memory and a random access memory, and provides an instruction and data to the processor 620. A part of the memory 610 may further include a non-volatile random access memory. For example, the memory 610 may further store device type information.

In addition to a data bus, the bus system 640 may include a power bus, a control bus, a status signal bus, and the like. However, for clear description, various buses are marked as the bus system 640 in the figure.

The network interface 630 may be a wired interface, such as a fiber distributed data interface (Fiber Distributed Data Interface, FDDI) or a gigabit Ethernet (Gigabit Ethernet, GE) interface. The network interface 630 may alternatively be a wireless interface.

During implementation, the steps of the foregoing methods may be implemented by using an integrated logic circuit of hardware in the processor 620, or by using a software instruction. The steps of the polar coding method disclosed with reference to the embodiments of this application may be directly performed by a hardware processor, or may be performed by using a combination of hardware in the processor and a software module. The software module may be in a random access memory, a flash memory, a read-only memory, a programmable read-only memory or an electrical erasable programmable memory, a register, or another mature storage medium in the art. The storage medium is located in the memory 610, and the processor 620 reads information from the memory 610 and implements, in combination with hardware of the processor 620, the steps of the foregoing methods. To avoid repetition, no detailed description is given herein again.

The units in the polar coding device 600 in this embodiment of this application and the foregoing operations or functions are intended to implement corresponding procedures in the method 100. For brevity, details are not repeatedly described herein.

In this embodiment of this application, only the maximum mother code sequence that can be supported by the system needs to be stored, and during polar code coding, the mother code sequence in the length required to perform polar coding is read from the maximum mother code sequence, so that storage overheads of the system are reduced.

It should be understood that values of sequence numbers of the foregoing processes do not mean execution sequences in the embodiments of this application. The execution sequences of the processes should be determined based on functions and internal logic of the processes, and should not be construed as any limitation on the implementation processes of the embodiments of this application.

A person of ordinary skill in the art may be aware that the units and algorithm steps in the examples described with reference to the embodiments disclosed in this specification may be implemented by electronic hardware or a combination of computer software and electronic hardware. Whether the functions are performed by hardware or software depends on particular applications and design constraint conditions of the technical solutions. A person skilled in the art may use a different method to implement the described functions for each particular application, but it should not be considered that the implementation goes beyond the scope of this application.

It may be clearly understood by a person skilled in the art that, for the purpose of convenient and brief description, for a detailed working process of the foregoing system, apparatus, and unit, reference may be made to a corresponding process in the foregoing method embodiments, and details are not repeatedly described herein.

In the several embodiments provided in this application, it should be understood that the disclosed system, apparatus, and method may be implemented in other manners. For example, the described apparatus embodiments are merely examples. For example, the unit division is merely logical function division and may be other division in actual implementation. For example, a plurality of units or components may be combined or integrated into another system, or some features may be ignored or not performed. In addition, the displayed or discussed mutual couplings or direct couplings or communication connections may be indirect couplings or communication connections through some interfaces, apparatuses, or units, and may be in electronic, mechanical, or other forms.

The units described as separate parts may or may not be physically separate. Parts displayed as units may or may not be physical units, and may be located in one location or distributed on a plurality of network units. Some or all of the units may be selected depending on actual requirements to achieve the objectives of the solutions of the embodiments.

In addition, functional units in the embodiments of this application may be integrated into one processing unit, or each of the units may exist alone physically, or two or more units are integrated into one unit.

When implemented in the form of a software functional unit and sold or used as an independent product, the functions may be stored in a computer readable storage medium. Based on such an understanding, the technical solutions of this application essentially, or the part contributing to the prior art, or some of the technical solutions may be implemented in a form of a software product. The computer software product is stored in a storage medium, and includes several instructions for instructing a computer device (which may be a personal computer, a server, a network device, or the like) to perform all or some of the steps of the methods described in the embodiments of this application. The foregoing storage medium includes: any medium that can store program code, such as a USB flash drive, a removable hard disk, a read-only memory (Read-Only Memory, ROM), a random access memory (Random Access Memory, RAM), a magnetic disk, or an optical disc.

The foregoing descriptions are merely specific implementations of this application, but are not intended to limit the protection scope of this application. Any variation or replacement readily figured out by a person skilled in the art within the technical scope disclosed in this application shall fall within the protection scope of this application. Therefore, the protection scope of this application shall be subject to the protection scope of the claims. 

The invention claimed is:
 1. A method, comprising: obtaining, by a communications apparatus, a plurality of bits to be coded; determining, by the communications apparatus, a second mother code sequence for coding the plurality of bits into a target polar code, the second mother code sequence is one of a plurality of first mother code sequences, wherein each of the first mother code sequences comprises at least a sub-sequence of a maximum mother code sequence, wherein the maximum mother code sequence comprises N sequence numbers corresponding to N polarized channels and the N sequence numbers are sorted according to arranging reliabilities of the N polarized channels in an ascending order, each of the first mother code sequences comprises Z sequence numbers corresponding to Z polarized channels and the Z sequence numbers are sorted according to arranging reliabilities of the Z polarized channels in an ascending order same as they are in the maximum mother code sequence, wherein Z is less than or equal to N, and Z and N are an integer power of 2; and performing, by the communications apparatus, polar coding on the plurality of bits based on the second mother code sequence to generate a coded sequence; outputting, by the communications apparatus, the coded sequence.
 2. The method according claim 1, wherein values of each of the plurality of first mother code sequences are less than Z.
 3. The method according claim 1, wherein Z is larger than or equal to
 16. 4. The method according claim 1, wherein the maximum mother code sequence is pre-stored in a memory.
 5. The method according to claim 1, wherein N equals
 1024. 6. The method according to claim 1, wherein the method further comprises: obtaining a reliability of an i^(th) polarized channel of the N polarized channels according to the following equation: ${W_{i} = {\sum\limits_{j = 0}^{n - 1}{B_{j}*2^{\frac{1}{4} \cdot j}}}},{0 \leq i \leq {N - 1}},$ where N=2^(n), n is a positive integer, i=B_(n−1) B_(n−2) . . . B₀, B_(n−1) B_(n−2) . . . B₀ is a binary representation of i, B_(n−1) is a most significant bit, B₀ is a least significant bit, B_(j)∈{0, 1}.
 7. A communications apparatus, comprising: a memory storing instructions; at least one processor coupled to the memory for executing the instructions to perform operations comprising: obtaining a plurality of bits to be coded; determining a second mother code sequence for coding the plurality of bits into a target polar code, the second mother code sequence is one of a plurality of first mother code sequences, wherein each of the first mother code sequences comprises at least a sub-sequence of a maximum mother code sequence, wherein the maximum mother code sequence comprises N sequence numbers corresponding to N polarized channels and the N sequence numbers are sorted according to arranging reliabilities of the N polarized channels in an ascending order, each of the first mother code sequences comprises Z sequence numbers corresponding to Z polarized channels and the Z sequence numbers are sorted according to arranging reliabilities of the Z polarized channels in an ascending order same as they are in the maximum mother code sequence, wherein Z is less than or equal to N, and Z and N are an integer power of 2; and performing polar coding on the plurality of bits based on the second mother code sequence to generate a coded sequence; outputting the coded sequence.
 8. The communications apparatus according claim 7, wherein values of each of the plurality of first mother code sequences are less than Z.
 9. The communications apparatus according claim 7, wherein Z is larger than or equal to
 16. 10. The communications apparatus according claim 7, wherein the maximum mother code sequence is pre-stored.
 11. The communications apparatus according claim 7, wherein N equals
 1024. 12. The communications apparatus according claim 7, wherein a reliability of an i^(th) polarized channel is obtained according to the following equation: ${W_{i} = {\sum\limits_{j = 0}^{n - 1}{B_{j}*2^{\frac{1}{4} \cdot j}}}},{0 \leq i \leq {N - 1}},$ where N=2^(n), n is a positive integer, i=B_(n−1) B_(n−2) . . . B₀, B_(n−1) B_(n−2) . . . B₀ is a binary representation of i, B_(n−1) is a most significant bit, B₀ is a least significant bit, and B_(j)∈{0,1}.
 13. The communications apparatus according claim 7, wherein the communications apparatus is a base station or a terminal device.
 14. A non-transitory, computer-readable medium storing one or more instructions executable by at least one processor to perform operations comprising: obtain a plurality of bits to be coded; determine a second mother code sequence for coding the plurality of bits into a target polar code, the second mother code sequence is one of a plurality of first mother code sequences, wherein each of the first mother code sequences comprises at least a sub-sequence of a maximum mother code sequence, wherein the maximum mother code sequence comprises N sequence numbers corresponding to N polarized channels and the N sequence numbers are sorted according to arranging reliabilities of the N polarized channels in an ascending order, each of the first mother code sequences comprises Z sequence numbers corresponding to Z polarized channels and the Z sequence numbers are sorted according to arranging reliabilities of the Z polarized channels in an ascending order same as they are in the maximum mother code sequence, wherein Z is less than or equal to N, and Z and N are an integer power of 2; and perform polar coding on the plurality of bits based on the second mother code sequence to generate a coded sequence; output the coded sequence.
 15. The non-transitory, computer readable medium according claim 14, wherein values of each of the plurality of first mother code sequences are less than Z.
 16. The non-transitory, computer readable medium according claim 14, wherein Z is larger than or equal to
 16. 17. The non-transitory, computer readable medium according claim 14, wherein the maximum mother code sequence is pre-stored.
 18. The non-transitory, computer readable medium according to claim 14, wherein N equals
 1024. 19. The non-transitory, computer readable medium according to claim 14, wherein a reliability of an i^(th) polarized channel is obtained according to the following equation: ${W_{i} = {\sum\limits_{j = 0}^{n - 1}{B_{j}*2^{\frac{1}{4} \cdot j}}}},{0 \leq i \leq {N - 1}},$ where N=2^(n), n is a positive integer, i=B_(n−1) B_(n−2) . . . B₀, B_(n−1) B_(n−2) . . . B₀ is a binary representation of i, B_(n−1) is a most significant bit, B₀ is a least significant bit, and B_(j)∈{0,1}. 